The Journal of the Indian Mathematical Society

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The Transformation Formalism of Vector Valued Theta Functions With Respect to the Siegel Modular Group


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1 Mathematisches Institut, Universitat Heidelberg, 6900 Heidelberg, Germany
     

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The Results
We denote by Hn the Siegel upper half plane which consists of all symmetric n×n-matrices with positive definite imaginary part by Sp2n (R) the real symplectic group which acts on Hn by the usual formula.
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  • The Transformation Formalism of Vector Valued Theta Functions With Respect to the Siegel Modular Group

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Authors

E. Freitag
Mathematisches Institut, Universitat Heidelberg, 6900 Heidelberg, Germany

Abstract


The Results
We denote by Hn the Siegel upper half plane which consists of all symmetric n×n-matrices with positive definite imaginary part by Sp2n (R) the real symplectic group which acts on Hn by the usual formula.